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A227499 Number of the Lipschitz quaternions in a reduced system modulo n. 15
1, 8, 48, 128, 480, 384, 2016, 2048, 3888, 3840, 13200, 6144, 26208, 16128, 23040, 32768, 78336, 31104, 123120, 61440, 96768, 105600, 267168, 98304, 300000, 209664, 314928, 258048, 682080, 184320, 892800, 524288, 633600, 626688, 967680, 497664, 1822176 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..37.

FORMULA

Multiplicative: a(2^s) = 2^(4s-1); a(3^s) = 16*3^(4s-3); a(5^s) = 32*3*5^(4s-3).

MATHEMATICA

cuater[n_] := Flatten[Table[{a, b, c, d}, {a, n}, {b, n}, {c, n}, {d, n}], 3]; a[n_] := Length@Select[cuater[n], GCD[#.#, n] == 1 &]; Array[a, 20]

CROSSREFS

Cf. A079458, A060968, A087784.

Sequence in context: A067239 A152750 A121355 * A168012 A222816 A280056

Adjacent sequences:  A227496 A227497 A227498 * A227500 A227501 A227502

KEYWORD

nonn,mult

AUTHOR

José María Grau Ribas, Jul 13 2013

STATUS

approved

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Last modified May 7 19:23 EDT 2021. Contains 343652 sequences. (Running on oeis4.)